A Quantum Theory of Galvanomagnetic Effect in Metals with Magnetic Breakdown. I

Abstract

The magnetoconductivity of metals with magnetic breakdown is calculated quantum mechanically. The calculations are done for the weak scattering limit, based on a rigorous treatment of periodic potentials. When the scattering due to impurities is weak and the level broadening is negligibly small, the transverse magnetoconductivity can be described by the “intraband” and “interband” processes in the “magnetic energy band”. As an application of the obtained formulas the transverse magnetoconductivity is calculated on a simple model for the periodic potential—one-dimensional weak cosine potential. The results of our calculations show rather complicated oscillatory behaviors which come from the phase coherence between orbits.